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Theorems · Definition · logic and foundations

FirstOrder.Language.Term.relabel

{L : FirstOrder.Language} → {α : Type u'} → {β : Type v'} → (α → β) → L.Term α → L.Term β

Relabels a term's variables along a particular function.

Defined in
Mathlib.ModelTheory.Syntax
Cited by
27 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
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FirstOrder.Language.BoundedFormula.relabel · cited by 17BoundedFormula.relabelFirstOrder.Language.Term.realize_relabel · cited by 15Term.realize_relabelFirstOrder.Language.Term.equal · cited by 14Term.equalFirstOrder.Language.BoundedFormula.castLE_rfl · cited by 4BoundedFormula.castLE_rflFirstOrder.genericPolyMapSurjOnOfInjOn · cited by 4FirstOrder.genericPolyMap…FirstOrder.Language.Term.relabelEquiv · cited by 4Term.relabelEquivFirstOrder.Field.genericMonicPolyHasRoot · cited by 4Field.genericMonicPolyHas…FirstOrder.Language.BoundedFormula.subst · cited by 3BoundedFormula.substFirstOrder.Language.Term.definableFun_realize · cited by 3Term.definableFun_realizeFirstOrder.Language.Relations.formula · cited by 3Relations.formulaFirstOrder.Language.Term.liftAt · cited by 3Term.liftAtFirstOrder.Language.Term.relabel_relabel · cited by 3Term.relabel_relabelFirstOrder.Language.BoundedFormula.relabel_all · cited by 2BoundedFormula.relabel_allFirstOrder.realize_genericPolyMapSurjOnOfInjOn · cited by 2FirstOrder.realize_generi…FirstOrder.Field.finite_ACF_prime_not_realize_of_ACF_zero_realize · cited by 2Field.finite_ACF_prime_no…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Term · cited by 166Language.TermFirstOrder.Language.Term.brecOn · cited by 1Term.brecOnTerm.relabelCITED BYCITES

Cites3

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Cited by35

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